English
 
User Manual Privacy Policy Disclaimer Contact us
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Journal Article

Theory of Newtonian self-gravitating stationary spherically symmetric systems

MPS-Authors
/persons/resource/persons20696

Rendall,  Alan D.
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Locator
There are no locators available
Fulltext (public)

0408045.pdf
(Preprint), 239KB

Supplementary Material (public)
There is no public supplementary material available
Citation

Heinzle, J. M., Rendall, A. D., & Uggla, C. (2006). Theory of Newtonian self-gravitating stationary spherically symmetric systems. Mathematical Proceedings of the Cambridge Philosophical Society, 140, 177-192.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-4ADE-9
Abstract
We investigate spherically symmetric equilibrium states of the Vlasov-Poisson system, relevant in galactic dynamics. We recast the equations into a regular three-dimensional system of autonomous first order ordinary differential equations on a region with compact closure.Based on a dynamical systems analysis we derive theorems that guarantee that the steady state solutions have finite mass and compact support.